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- catalog abstract "The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads to a classification of K3 surfaces in projective spaces of dimension at most 10. The authors bring further the ideas in Saint-Donat's classical article from 1974, lifting results from canonical curves to K3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time.".
- catalog contributor b13292509.
- catalog contributor b13292510.
- catalog created "c2004.".
- catalog date "2004".
- catalog date "c2004.".
- catalog dateCopyrighted "c2004.".
- catalog description "Includes bibliographical references (p. [159]-162) and index.".
- catalog description "Introduction -- Surfaces in scrolls -- The Clifford index of smooth curves in |L| and the definition of the scrolls T(c, D, {D_{\lamda}}) -- Two existence theorems -- The singular locus of the surface S´ and the scroll T -- Postponed proofs -- Projective models in smooth scrolls -- Projective models in singular scrolls -- More on projective models in smooth scrolls of K3 surfaces of low Clifford-indices -- BN general and Clifford general K3 surfaces -- Projective models of K3 surfaces of low genus -- Some applications and open questions -- References -- Index.".
- catalog description "The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads to a classification of K3 surfaces in projective spaces of dimension at most 10. The authors bring further the ideas in Saint-Donat's classical article from 1974, lifting results from canonical curves to K3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time.".
- catalog extent "viii, 164 p. :".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540215050 (pbk.)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1842.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1842".
- catalog issued "2004".
- catalog issued "c2004.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Mathematics.".
- catalog subject "Projective modules (Algebra)".
- catalog subject "QA3 .L28 no. 1842".
- catalog subject "Surfaces, Algebraic.".
- catalog tableOfContents "Introduction -- Surfaces in scrolls -- The Clifford index of smooth curves in |L| and the definition of the scrolls T(c, D, {D_{\lamda}}) -- Two existence theorems -- The singular locus of the surface S´ and the scroll T -- Postponed proofs -- Projective models in smooth scrolls -- Projective models in singular scrolls -- More on projective models in smooth scrolls of K3 surfaces of low Clifford-indices -- BN general and Clifford general K3 surfaces -- Projective models of K3 surfaces of low genus -- Some applications and open questions -- References -- Index.".
- catalog title "K3 Projective models in scrolls / Trygve Johnsen, Andreas Leopold Knutsen.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".